Problem 3 (20 Marks) The material properties of a machine part are Sue = 586 MPa, Sye = 490 MPa, f = 0.86, and a fully corrected endurance limit of Se = 310 MPa. The part is to be cycled at a = 241 MPa and om = 207 MPa. a) Estimate the factor of safety for infinite failure using the (10 Marks): I.modified Goodman criteria ii. ASME elliptic criteria b) Which of the two methods is more conservative? (2 Marks) c) If infinite life is not predicted, estimate the number of cycles to failure. (8 Marks) Hint: Do not forget to check for yielding